Question

What are the x-coordinates of the solutions to this system of equations?

x2 + y2 = 25
y = 2x - 5

-4 and 0

4 and 0

-3 and -5

3 and -5

Answer 1

@wio @eliassaab

Answer 2

Use substitution.

x^2 + (2x-5)^2 = 25

Answer 3

Then solve for x.

Answer 4

If you try to solve
\[
x^2 + ( 2x -5)^2 =25
\]
You find x=0 and y=4
x=0 gives y=5
x=4 gives y=3
These are not any of your choices unless I messed up somewhere

Answer 5

@eliassaab ahh thanks i was confused with the substitution part

can u help with this?

A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. They make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. The company only has 42 boxes. Which system of equations helps the company plan to make $300?

6d = 42 - 8t
35d + 45t = 300

d = 42 - t
6d + 8t = 42

d = 42 - t
35d + 45t = 300

6d = 42 - 8t
35d - 45t = 300

Answer 6

Correction
You find x=0 and y=4
x=0 gives y=-5
x=4 gives y=3
These are not any of your choices unless I messed up somewhere

Answer 7

Please post it as a new problem. It will avoid confusion with other posters.

Answer 8

ok